Answer :

Answer:

The nature of the graphs for different types of motion can be described as follows:

a) A Body at Rest

**Distance-Time Graph:**

- The graph is a horizontal line parallel to the time axis.

- This indicates that the distance remains constant over time since the body is not moving.

![Body at Rest Distance-Time Graph](https://www.geeksforgeeks.org/wp-content/uploads/distance-time-graph-of-body-at-rest.png)

**Velocity-Time Graph:**

- The graph is a horizontal line along the time axis at zero velocity.

- This indicates that the velocity is zero at all times.

b) Uniform Motion

**Distance-Time Graph:**

- The graph is a straight line with a positive slope.

- This indicates that the distance is increasing uniformly over time.

**Velocity-Time Graph:**

- The graph is a horizontal line parallel to the time axis at a constant velocity value.

- This indicates that the velocity remains constant over time.

c) Non-Uniform Motion

**Distance-Time Graph:**

- The graph is a curved line.

- This indicates that the distance is not increasing uniformly over time. The slope of the graph changes, reflecting variations in speed.

**Velocity-Time Graph:**

- The graph is not a horizontal line; it may be a sloped line or a curve.

- This indicates that the velocity is changing over time. The slope of the graph represents acceleration or deceleration.

These graphs visually represent how the position and velocity of a body change with time under different types of motion.

Explanation:

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